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Finding the Third Proportional to 10,777 and 15,755

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Solution

The third proportional to 10,777 and 15,755 is: 23,032.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,777 : 15,755 = 15,755 : x
  2. Step 2: Convert to fraction form
    10,777/15,755 = 15,755/x
  3. Step 3: Cross multiply
    10,777x = 15,755 × 15,755
  4. Step 4: Simplify right side
    10,777x = 248,220,025
  5. Step 5: Solve for x
    x = 248,220,025/10,777
  6. Step 6: Final answer
    x = 23,032.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.